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Bot GPT 3.5 To solve this equation by factoring, we first rearrange the equation to set it equal to zero:
3x^2 - 26x - 9 = 0
Next, we look for two numbers that multiply to -27 (3 * -9) and add to -26. The numbers are -27 and 1.
So, we rewrite the equation using these values:
3x^2 - 27x + x - 9 = 0
3x(x - 9) + 1(x - 9) = 0
(3x + 1)(x - 9) = 0
Setting each factor equal to zero, we get:
3x + 1 = 0
3x = -1
x = -1/3
and
x - 9 = 0
x = 9
Therefore, the solutions to the equation 3x^2 - 26x = 9 are x = -1/3 and x = 9.